Cross Validated Questions, Problems & Solutions : TransWikia.com ~ Page 37

Number of samples and R^2

I have a linear regression model that gives me lower R^2 values as I increase the number of samples. The highest R^2 value I get is ~0.5, which makes me...

Asked on 11/16/2021 by ss_19

1 answer

Linear regression is a estimation of conditional expectation?

I am studying the topic of regression for the first time and some questions arise. First, linear regression is a estimation of conditional expectation? And also the conditional expectation estimate...

Asked on 11/16/2021 by Javier Mariño

2 answer

What is the correct way of adding bias terms in the residuals of the linear regression model?

First, I fit a linear model: $y=beta_0 + beta_1x_1+beta_2x_2 + epsilon$ Now I want to visualize $y$ after the effects of $x_1$ and $x_2$ have been removed or adjusted. ...

Asked on 11/14/2021 by gruangly

1 answer

Does correlation between residuals of ARIMA models for two time series tell anything about how they fluctuate together?

I wonder whether one can judge strength of coupling between fluctuations of two time series by looking at correlation between residuals of ARIMA models for these two series. Let's say...

Asked on 11/14/2021 by sztal

2 answer

Precision vs. Accuracy when talking about MSE

This is more of a semantic question. I'm working on translating a work from French to English related to statistics. In French, there is only 1 word as far as...

Asked on 11/14/2021

1 answer

How to run svy: regress in R or get R-squared in R for complex survey data

I am trying to get r-squared, or explained variation, in a complex survey data using a linear regression (OLS). In Stata, this can be done by using svy: regress. In...

Asked on 11/14/2021

4 answer

Loss function for regression with uncertain labels

I have a regression task, for which I'm training a model with MSE loss. So for label $y$ and estimation $hat{y}$ the loss is$$ell(y,hat{y})=(y-hat{y})^2$$ However,...

Asked on 11/14/2021

1 answer

Classification with noisy labels, noise is structured and not random

I am building a classification model with mislabeled training data on the order of ~70% of the training data is labeled correctly and ~30% is labeled incorrectly. Knowing this, how...

Asked on 11/14/2021

0 answer

Error propagation in an equation without an analytical solution

Is it possible to formally propagate uncertainties through an equation which does not have an analytical solution? I am an Earth Scientist working on doing a rigorous determination of the...

Asked on 11/14/2021 by slekce

0 answer

Calculating the Hazard Ratio for a Cox-regression model stratified by a variable (R)

I have built a Cox-regression model for 6 month mortality. When I created the original Kaplan–Meier curve, grouped by my variable of interest (hospital-acquired infection, Present vs Absent) the...

Asked on 11/14/2021 by FrenchToast

2 answer

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